MATLAB差分方程的阻滞增长模型,取b=[2.5, 3.5],间隔0.01取值,计算差分方程的收敛点 yk+1-yk=ryk(1-y¬k/N) -> xk+1=bxk(1-xk) k=0,1,2……
时间: 2023-06-17 14:06:53 浏览: 397
可以使用MATLAB的循环语句和差分方程求解函数ode45来完成该问题。具体实现如下:
```matlab
% 定义差分方程
dy = @(t, y, r, b, N) r*y*(1-y/N)-b*y*(1-y);
% 设定参数
b = 2.5:0.01:3.5;
r = 0.5; N = 100;
% 循环计算不同b值下的收敛点
for i = 1:length(b)
[t, y] = ode45(@(t, y) dy(t, y, r, b(i), N), [0 100], 0.1);
% 绘制收敛曲线
plot(b(i), y(end), 'o', 'MarkerSize', 3, 'MarkerFaceColor', 'b');
hold on;
end
% 添加图例和标签
legend('收敛曲线');
xlabel('参数b');
ylabel('收敛点y');
```
运行以上代码,就可以得到对应的收敛曲线图像。
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